\[\Gamma\left(z\right)={\mathrm{e}}^{-z}z^{z}\left(\frac{2\pi}{z}\right)^{1/2}%
\Gamma^{*}\left(z\right)\sim{\mathrm{e}}^{-z}z^{z}\left(\frac{2\pi}{z}\right)^%
{1/2}\sum_{k=0}^{\infty}\frac{g_{k}}{z^{k}},\]